{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a22ead47-4121-4a62-9230-6e433aa9666e",
   "metadata": {},
   "source": [
    "# Matplotlib基本图形绘制"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "21377190-a123-4de4-8e63-cfc5900f46bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c76deffb-432f-4203-bfe8-5350b72f3289",
   "metadata": {},
   "source": [
    "### 运行时配置参数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "addb5ad4-6e85-496e-a614-5939fadf524b",
   "metadata": {},
   "source": [
    "- rcParams:runtime configuration Parameters\n",
    "- 运行时配置参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e008716e-9408-4688-808b-44873b439019",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 如果浏览器不显示图片，就添加该段代码\n",
    "%matplotlib inline\n",
    "\n",
    "# 让图片显示中文\n",
    "plt.rcParams['font.sans-serif']='SimHei'\n",
    "# 让图片显示负号\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "\n",
    "# 支持svg矢量图\n",
    "%config Inlinebackend.figure_format='svg'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85f3d71e-1f29-41b5-b08a-65d9e3840465",
   "metadata": {},
   "source": [
    "- 查看自己电脑上的字体库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8cbf5d60-9798-4943-ba4e-698490744cb3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Agency FB',\n",
       " 'Algerian',\n",
       " 'Arial',\n",
       " 'Arial Rounded MT Bold',\n",
       " 'BERNIER Regular',\n",
       " 'BIZ UDGothic',\n",
       " 'BIZ UDMincho',\n",
       " 'Bahnschrift',\n",
       " 'Baskerville Old Face',\n",
       " 'Bauhaus 93',\n",
       " 'Bell MT',\n",
       " 'Berlin Sans FB',\n",
       " 'Berlin Sans FB Demi',\n",
       " 'Bernard MT Condensed',\n",
       " 'Blackadder ITC',\n",
       " 'Bodoni MT',\n",
       " 'Book Antiqua',\n",
       " 'Bookman Old Style',\n",
       " 'Bookshelf Symbol 7',\n",
       " 'Bradley Hand ITC',\n",
       " 'Britannic Bold',\n",
       " 'Broadway',\n",
       " 'Brush Script MT',\n",
       " 'Calibri',\n",
       " 'Californian FB',\n",
       " 'Calisto MT',\n",
       " 'Cambria',\n",
       " 'Candara',\n",
       " 'Cascadia Code',\n",
       " 'Cascadia Mono',\n",
       " 'Castellar',\n",
       " 'Centaur',\n",
       " 'Century',\n",
       " 'Century Gothic',\n",
       " 'Century Schoolbook',\n",
       " 'Chiller',\n",
       " 'Colonna MT',\n",
       " 'Comic Sans MS',\n",
       " 'Consolas',\n",
       " 'Constantia',\n",
       " 'Cooper Black',\n",
       " 'Copperplate Gothic Bold',\n",
       " 'Copperplate Gothic Light',\n",
       " 'Corbel',\n",
       " 'Courier New',\n",
       " 'Curlz MT',\n",
       " 'DejaVu Sans',\n",
       " 'DejaVu Sans Display',\n",
       " 'DejaVu Sans Mono',\n",
       " 'DejaVu Serif',\n",
       " 'DejaVu Serif Display',\n",
       " 'DengXian',\n",
       " 'Dubai',\n",
       " 'Ebrima',\n",
       " 'Edwardian Script ITC',\n",
       " 'Elephant',\n",
       " 'Engravers MT',\n",
       " 'Eras Bold ITC',\n",
       " 'Eras Demi ITC',\n",
       " 'Eras Light ITC',\n",
       " 'Eras Medium ITC',\n",
       " 'FZShuTi',\n",
       " 'FZYaoTi',\n",
       " 'FangSong',\n",
       " 'Felix Titling',\n",
       " 'Footlight MT Light',\n",
       " 'Forte',\n",
       " 'Franklin Gothic Book',\n",
       " 'Franklin Gothic Demi',\n",
       " 'Franklin Gothic Demi Cond',\n",
       " 'Franklin Gothic Heavy',\n",
       " 'Franklin Gothic Medium',\n",
       " 'Franklin Gothic Medium Cond',\n",
       " 'Freestyle Script',\n",
       " 'French Script MT',\n",
       " 'Gabriola',\n",
       " 'Gadugi',\n",
       " 'Garamond',\n",
       " 'Georgia',\n",
       " 'Gigi',\n",
       " 'Gill Sans MT',\n",
       " 'Gill Sans MT Condensed',\n",
       " 'Gill Sans MT Ext Condensed Bold',\n",
       " 'Gill Sans Ultra Bold',\n",
       " 'Gill Sans Ultra Bold Condensed',\n",
       " 'Gloucester MT Extra Condensed',\n",
       " 'Goudy Old Style',\n",
       " 'Goudy Stout',\n",
       " 'HP Simplified',\n",
       " 'HP Simplified Hans',\n",
       " 'HP Simplified Jpan',\n",
       " 'Haettenschweiler',\n",
       " 'Harlow Solid Italic',\n",
       " 'Harrington',\n",
       " 'High Tower Text',\n",
       " 'HoloLens MDL2 Assets',\n",
       " 'Impact',\n",
       " 'Imprint MT Shadow',\n",
       " 'Informal Roman',\n",
       " 'Ink Free',\n",
       " 'Javanese Text',\n",
       " 'Jokerman',\n",
       " 'Juice ITC',\n",
       " 'KaiTi',\n",
       " 'Kristen ITC',\n",
       " 'Kunstler Script',\n",
       " 'Leelawadee',\n",
       " 'Leelawadee UI',\n",
       " \"Let's go Digital\",\n",
       " 'LiSu',\n",
       " 'Lucida Bright',\n",
       " 'Lucida Calligraphy',\n",
       " 'Lucida Console',\n",
       " 'Lucida Fax',\n",
       " 'Lucida Handwriting',\n",
       " 'Lucida Sans',\n",
       " 'Lucida Sans Typewriter',\n",
       " 'Lucida Sans Unicode',\n",
       " 'MS Gothic',\n",
       " 'MS Mincho',\n",
       " 'MS Outlook',\n",
       " 'MS Reference Sans Serif',\n",
       " 'MS Reference Specialty',\n",
       " 'MT Extra',\n",
       " 'MV Boli',\n",
       " 'Magneto',\n",
       " 'Maiandra GD',\n",
       " 'Malgun Gothic',\n",
       " 'Matura MT Script Capitals',\n",
       " 'Meiryo',\n",
       " 'Microsoft Himalaya',\n",
       " 'Microsoft JhengHei',\n",
       " 'Microsoft New Tai Lue',\n",
       " 'Microsoft PhagsPa',\n",
       " 'Microsoft Sans Serif',\n",
       " 'Microsoft Tai Le',\n",
       " 'Microsoft Uighur',\n",
       " 'Microsoft YaHei',\n",
       " 'Microsoft Yi Baiti',\n",
       " 'MingLiU-ExtB',\n",
       " 'Mistral',\n",
       " 'Modern No. 20',\n",
       " 'Mongolian Baiti',\n",
       " 'Monotype Corsiva',\n",
       " 'Myanmar Text',\n",
       " 'Niagara Engraved',\n",
       " 'Niagara Solid',\n",
       " 'Nirmala UI',\n",
       " 'Noto Sans SC',\n",
       " 'OCR A Extended',\n",
       " 'Old English Text MT',\n",
       " 'Onyx',\n",
       " 'Palace Script MT',\n",
       " 'Palatino Linotype',\n",
       " 'Papyrus',\n",
       " 'Parchment',\n",
       " 'Perpetua',\n",
       " 'Perpetua Titling MT',\n",
       " 'Playbill',\n",
       " 'Poor Richard',\n",
       " 'Pristina',\n",
       " 'Rage Italic',\n",
       " 'Ravie',\n",
       " 'Rockwell',\n",
       " 'Rockwell Condensed',\n",
       " 'Rockwell Extra Bold',\n",
       " 'STCaiyun',\n",
       " 'STFangsong',\n",
       " 'STHupo',\n",
       " 'STIXGeneral',\n",
       " 'STIXNonUnicode',\n",
       " 'STIXSizeFiveSym',\n",
       " 'STIXSizeFourSym',\n",
       " 'STIXSizeOneSym',\n",
       " 'STIXSizeThreeSym',\n",
       " 'STIXSizeTwoSym',\n",
       " 'STKaiti',\n",
       " 'STLiti',\n",
       " 'STSong',\n",
       " 'STXihei',\n",
       " 'STXingkai',\n",
       " 'STXinwei',\n",
       " 'STZhongsong',\n",
       " 'Sans Serif Collection',\n",
       " 'Script MT Bold',\n",
       " 'Segoe Fluent Icons',\n",
       " 'Segoe MDL2 Assets',\n",
       " 'Segoe Print',\n",
       " 'Segoe Script',\n",
       " 'Segoe UI',\n",
       " 'Segoe UI Emoji',\n",
       " 'Segoe UI Historic',\n",
       " 'Segoe UI Symbol',\n",
       " 'Segoe UI Variable',\n",
       " 'Showcard Gothic',\n",
       " 'SimHei',\n",
       " 'SimSun',\n",
       " 'SimSun-ExtB',\n",
       " 'Sitka',\n",
       " 'Snap ITC',\n",
       " 'Source Han Serif SC',\n",
       " 'Stencil',\n",
       " 'Sylfaen',\n",
       " 'Symbol',\n",
       " 'Tahoma',\n",
       " 'Tempus Sans ITC',\n",
       " 'Times New Roman',\n",
       " 'Trebuchet MS',\n",
       " 'Tw Cen MT',\n",
       " 'Tw Cen MT Condensed',\n",
       " 'Tw Cen MT Condensed Extra Bold',\n",
       " 'UD Digi Kyokasho N-B',\n",
       " 'UD Digi Kyokasho N-R',\n",
       " 'Verdana',\n",
       " 'Viner Hand ITC',\n",
       " 'Vivaldi',\n",
       " 'Vladimir Script',\n",
       " 'Webdings',\n",
       " 'Wide Latin',\n",
       " 'Wingdings',\n",
       " 'Wingdings 2',\n",
       " 'Wingdings 3',\n",
       " 'YouYuan',\n",
       " 'Yu Gothic',\n",
       " 'Yu Mincho',\n",
       " 'cmb10',\n",
       " 'cmex10',\n",
       " 'cmmi10',\n",
       " 'cmr10',\n",
       " 'cmss10',\n",
       " 'cmsy10',\n",
       " 'cmtt10'}"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看自己电脑上的字体库\n",
    "from matplotlib.font_manager import FontManager\n",
    "fm = FontManager()\n",
    "my_font = set(f.name for f in fm.ttflist)\n",
    "my_font"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24e4d91c-593e-4141-94db-31149abcb95e",
   "metadata": {},
   "source": [
    "### 基本绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "470acbc3-5ed0-4e38-9598-38299c51efea",
   "metadata": {},
   "source": [
    "- plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "18ad356d-3b30-47b5-8e75-fc8079df9960",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 抛物线\n",
    "x = np.linspace(-5,5,50)# 等差数列[-5,50]之间分成50份\n",
    "y = x**2\n",
    "\n",
    "# 画图：折线图/线性图\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c3c9ca0-b732-4b5b-8762-75a6eef715dc",
   "metadata": {},
   "source": [
    "**样式和颜色**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "647649a1-e7df-47ed-ab53-3bcdb8118b2f",
   "metadata": {},
   "source": [
    " ## 画布配置"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8b78ac9-ae39-4005-a8d8-711ad72271a1",
   "metadata": {},
   "source": [
    "- plt.figure()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2501cf1a-a767-4c47-aff5-6093d58dd344",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figsize:画布大小，（宽，高）\n",
    "# dpi:分辨率（像素密度，像素密度越大图越大）\n",
    "# facecolor:背景颜色(可用颜色字母或十六位数据表示)\n",
    "plt.figure(figsize=(5,3), dpi=100,facecolor='pink')\n",
    "\n",
    "# 画图：正弦曲线\n",
    "x = np.linspace(0, 2*np.pi)\n",
    "y = np.sin(x)\n",
    "\n",
    "plt.plot(x,y)\n",
    "\n",
    "# 设置网格\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dad11713-f8fc-46e1-a7ed-e33fbc8a2c61",
   "metadata": {},
   "source": [
    "**在一个画布上绘制多个图**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "81c9efc7-5f18-4b63-bd56-386a54e8c7d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1f0295af410>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "x = np.linspace(0,8)\n",
    "\n",
    "plt.plot(x,np.sin(x))\n",
    "plt.plot(x,np.cos(x),'r')\n",
    "plt.plot(x,-np.cos(x),'g--')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7cdb8233-d63b-4bfa-8ee9-ec8c50f95128",
   "metadata": {},
   "source": [
    "**立刻显示图片**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b4efdf5-0c6b-4c93-b542-206a92771b97",
   "metadata": {},
   "source": [
    "- show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0a318cca-ae25-4636-9f45-cccf4ffa42ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1f02ab71100>]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "x = np.linspace(0,8)\n",
    "\n",
    "plt.plot(x,np.sin(x))\n",
    "plt.plot(x,np.cos(x),'r')\n",
    "plt.show()\n",
    "plt.plot(x,-np.cos(x),'g--')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fd01cb9e-9a82-4445-a3fe-08c170963e07",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa527d16-67d6-4de1-a2ef-183b4b4dfeca",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
